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Simplifying In(x + 1) + in(x + 4) = In(x + 9) Reorder the terms: nI(1 + x) + in(x + 4) = In(x + 9) (1 * nI + x * nI) + in(x + 4) = In(x + 9) (1nI + nxI) + in(x + 4) = In(x + 9) Reorder the terms: 1nI + nxI + in(4 + x) = In(x + 9) 1nI + nxI + (4 * in + x * in) = In(x + 9) 1nI + nxI + (4in + inx) = In(x + 9) Reorder the terms: 4in + inx + 1nI + nxI = In(x + 9) Reorder the terms: 4in + inx + 1nI + nxI = nI(9 + x) 4in + inx + 1nI + nxI = (9 * nI + x * nI) 4in + inx + 1nI + nxI = (9nI + nxI) Add '-1nxI' to each side of the equation. 4in + inx + 1nI + nxI + -1nxI = 9nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 4in + inx + 1nI + 0 = 9nI + nxI + -1nxI 4in + inx + 1nI = 9nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 4in + inx + 1nI = 9nI + 0 4in + inx + 1nI = 9nI Solving 4in + inx + 1nI = 9nI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1nI' to each side of the equation. 4in + inx + 1nI + -1nI = 9nI + -1nI Combine like terms: 1nI + -1nI = 0 4in + inx + 0 = 9nI + -1nI 4in + inx = 9nI + -1nI Combine like terms: 9nI + -1nI = 8nI 4in + inx = 8nI Combine like terms: 8nI + -8nI = 0 4in + inx + -8nI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(4i + ix + -8I) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4i + ix + -8I)' equal to zero and attempt to solve: Simplifying 4i + ix + -8I = 0 Reorder the terms: -8I + 4i + ix = 0 Solving -8I + 4i + ix = 0 Move all terms containing i to the left, all other terms to the right. Add '8I' to each side of the equation. -8I + 4i + 8I + ix = 0 + 8I Reorder the terms: -8I + 8I + 4i + ix = 0 + 8I Combine like terms: -8I + 8I = 0 0 + 4i + ix = 0 + 8I 4i + ix = 0 + 8I Remove the zero: 4i + ix = 8I The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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